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3 years ago

13

Solve the literal equation below for y a=9y+2/x

1 answer:

MrRissso [65]3 years ago

3 0

Answer: y = $\frac{ax - 2}{9x}$

Step-by-step explanation: look for the lcm

a= $\frac{9xy + 2}{x}$

cross multiply

ax =9xy + 2

ax - 2 = 9xy

divide both sides by 9x

$\frac{ax - 2}{9x} = \frac{9xy}{9x}$

y= $\frac{ax - 2}{9x}$

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The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R′(x)=(x+1)ln(x+1)R ′ (x)=(x+1)ln(x+

jekas [21]

Answer:

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

Step-by-step explanation:

$R'(x)=(x+1)\ln(x+1)$

Integrate with respect to $x$ .

$R(x)=$ ∫ $(x+1)\ln(x+1)$ dx

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$dx=du$

So,

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Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

Therefore,

$R(x)=$ $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u^2}{2}\frac{1}{u}\,du$

= $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u}{2}\,du$

Put $u=x+1$

$R(x)= \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}$

To find total revenue from the sale of the first 12 calculators, put $x=12$

$R(x)= \frac{(12+1)^2}{2}\ln(12+1)-\frac{(12+1)^2}{4}\\\\= \frac{(13)^2}{2}\ln(13)-\frac{(13)^2}{4}\\\\=\frac{169}{2}\ln(13)-\frac{169}{4}$

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3 years ago

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Sergio [31]

Answer: x = 2

Step-by-step explanation:

$x+y=8\\y=3x$

Replace y in the first equation by the value of y in the second equation.

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2 years ago

Read 2 more answers